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Finding the Fourth Proportional to 10,381.87, 14,327.09 and 5,666.23

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Solution

The fourth proportional to 10,381.87, 14,327.09 and 5,666.23 is: 7,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.87 : 14,327.09 = 5,666.23 : x
  2. Step 2: Convert to fraction form
    10,381.87/14,327.09 = 5,666.23/x
  3. Step 3: Cross multiply
    10,381.87x = 14,327.09 × 5,666.23
  4. Step 4: Simplify right side
    10,381.87x = 81,180,587.17
  5. Step 5: Solve for x
    x = 81,180,587.17/10,381.87
  6. Step 6: Final answer
    x = 7,819.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.